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We present the next-to-next-to-leading order post-Newtonian (PN) spin-orbit Hamiltonian for two self-gravitating spinning compact objects.
M. Riesz, “L’intégrale de Riemann-Liouville et le problème de Cauchy,” Acta Math
1949
Earlier work this paper cites.
M. Riesz, “Erratum: L’intégrale de Riemann-Liouville et le problème de Cauchy,” Acta Math
1949
Earlier work this paper cites.
John Wiley, New York, 1962
R. L. Arnowitt, S. Deser, and C. W. Misner, “The dynamics of general relativity,” in Gravitation: An Introduction to Current Research · 1962
Earlier work this paper cites.
1967
Earlier work this paper cites.
T. Kimura and T. Toiya, “Potential in the canonical formalism of gravity,” Prog. Theor. Phys
1972
Earlier work this paper cites.
T. Ohta, H. Okamura, T. Kimura, and K. Hiida, “Coordinate condition and higher order gravitational potential in canonical formalism,” Prog. Theor. Phys
1974
Earlier work this paper cites.
B. M. Barker and R. F. O’Connell, “Gravitational two-body problem with arbitrary masses, spins, and quadrupole moments,” Phys. Rev. D
1975
Earlier work this paper cites.
P. D. D’Eath, “Interaction of two black holes in the slow-motion limit,” Phys. Rev. D
1975
Earlier work this paper cites.
T. Ohta, T. Kimura, and K. Hiida, “Can the effect of distant matter on physical observables be observed?,” Nuovo Cim. B
1975
Earlier work this paper cites.
B. M. Barker and R. F. O’Connell, “The gravitational interaction: Spin, rotation, and quantum effects—a review,” Gen. Relativ. Gravit
1979
Earlier work this paper cites.
G. Schäfer, “Acceleration-dependent Lagrangians in general relativity,” Phys. Lett. A
1984
Earlier work this paper cites.
T. Damour and G. Schäfer, “Lagrangians for n point masses at the second post-Newtonian approximation of general relativity,” Gen. Relativ. Gravit
1985
Earlier work this paper cites.
G. Schäfer, “The gravitational quadrupole radiation-reaction force and the canonical formalism of ADM,” Ann. Phys. (N.Y.)
1985
Earlier work this paper cites.
K. S. Thorne and J. B. Hartle, “Laws of motion and precession for black holes and other bodies,” Phys. Rev. D
1985
Earlier work this paper cites.
G. Schäfer, “The ADM Hamiltonian at the postlinear approximation,” Gen. Relativ. Gravit
1986
Earlier work this paper cites.
G. Schäfer, “Three-body Hamiltonian in General Relativity,” Phys. Lett. A
1987
Earlier work this paper cites.
T. Damour and G. Schäfer, “Higher-order relativistic periastron advances and binary pulsars,” Nuovo Cim. B
1988
Earlier work this paper cites.
T. Damour and G. Schäfer, “Redefinition of position variables and the reduction of higher order Lagrangians,” J. Math. Phys
1991
Earlier work this paper cites.
P. Jaranowski and G. Schäfer, “Radiative 3.5 post-Newtonian ADM Hamiltonian for many-body point-mass systems,” Phys. Rev. D
1997
Earlier work this paper cites.
P. Jaranowski and G. Schäfer, “Third post-Newtonian higher order ADM Hamilton dynamics for two-body point-mass systems,” Phys. Rev. D
1998
Earlier work this paper cites.
E. Poisson, “Gravitational waves from inspiraling compact binaries: The quadrupole-moment term,” Phys. Rev. D
1998
Earlier work this paper cites.
P. Jaranowski and G. Schäfer, “Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part,” Phys. Rev. D
1999
Earlier work this paper cites.
T. Damour, P. Jaranowski, and G. Schäfer, “Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem,” Phys. Rev. D
2000
Cited alongside, same era.
M. E. Pati and C. M. Will, “Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations: Foundations,” Phys. Rev. D
2000
Cited alongside, same era.
T. Damour, P. Jaranowski, and G. Schäfer, “Dimensional regularization of the gravitational interaction of point masses,” Phys. Lett. B
2001
Cited alongside, same era.
H. Tagoshi, A. Ohashi, and B. J. Owen, “Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order,” Phys. Rev. D
2001
Cited alongside, same era.
C. Königsdörffer, G. Faye, and G. Schäfer, “The binary black-hole dynamics at the third-and-a-half post-Newtonian order in the ADM-formalism,” Phys. Rev. D
2008
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
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2003
Cited alongside, same era.
Wolfram Media, Champaign, IL, 5th ed., 2003
S. Wolfram, The Mathematica Book · 2003
Cited alongside, same era.
L. Blanchet, “Gravitational radiation from post-Newtonian sources and inspiralling compact binaries,” Living Rev. Relativity
2006
Cited alongside, same era.
W. D. Goldberger and I. Z. Rothstein, “An effective field theory of gravity for extended objects,” Phys. Rev. D
2006
Cited alongside, same era.
G. Faye, L. Blanchet, and A. Buonanno, “Higher-order spin effects in the dynamics of compact binaries. I. Equations of motion,” Phys. Rev. D
2006
Cited alongside, same era.
T. Futamase and Y. Itoh, “The post-Newtonian approximation for relativistic compact binaries,” Living Rev. Relativity
2007
Cited alongside, same era.
2008
Cited alongside, same era.
2008
Cited alongside, same era.
2009
Later among the works it cites.
2009
Later among the works it cites.
2009
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2009
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R. A. Porto and I. Z. Rothstein, “Erratum: Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries,” Phys. Rev. D
2010
Later among the works it cites.
2010
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2010
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World Scientific, Singapore, 2010
D. L. Perrodin, “Subleading spin-orbit correction to the Newtonian potential in effective field theory formalism,” in Proceedings of the 12th Marcel Grossmann Meeting on General Relativity · 2010
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2010
Later among the works it cites.
2010
Later among the works it cites.
R. A. Porto and I. Z. Rothstein, “Erratum: Spin(1)spin(2) effects in the motion of inspiralling compact binaries at third order in the post-Newtonian expansion,” Phys. Rev. D
2010
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2010
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2010
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2010
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J. Steinhoff, “Canonical formulation of spin in general relativity,” Ann. Phys. (Berlin)
2011
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2011
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R. L. Arnowitt, S. Deser, and C. W. Misner, “Republication of: The dynamics of general relativity,” Gen. Relativ. Gravit
2027
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